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Killer and Victim (Posted on 2012-08-26) Difficulty: 3 of 5
The sisters of Aaron Green were Betty and Clara; the name of Aaron's girlfriend was Flora Brown and, Duane and Edwin were Flora’s brothers. Their occupations were as follows:
  • Aaron was a doctor.
  • Betty was a doctor.
  • Clara was a lawyer.
  • Duane was a doctor.
  • Edwin was a lawyer.
  • Flora was a lawyer.
One of the six killed one of the other five. Here are some clues to the murder.
  1. If the killer and the victim were related, the killer was a man.
  2. If the killer and the victim were not related, the killer was a doctor.
  3. If the killer and the victim had the same occupation, the victim was a man.
  4. If the killer and the victim had different occupations, the victim was a woman.
  5. If the killer and the victim were of the same sex, the killer was a lawyer.
  6. If the killer and victim were different sexes, the victim was a doctor.
Who was the killer? Who was the victim?

See The Solution Submitted by K Sengupta    
Rating: 4.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution (using Excel) Comment 6 of 6 |
I created a series of 6x6 matrices numbered 1 thru 6 for each of the six rules, grouping them into three pairs.  Each cell was filled with either T or F according to the stipulations for each rule.  From the first two rules, it is clear that neither Clara nor Flora could be the killer since neither was a man or a doctor - the results of rules 1 and 2 respectively.

I then wrote logic comparing the cells in each pair, looking for a 'T' in either corresponding cell for each pair.  All three pairs must have at least one 'T' for each cell position.

The only combo that returned a 'T' for all three pairs was Betty as the killer and Duane as the victim.

  Posted by hoodat on 2012-12-19 00:33:59
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